Time and Distance Questions

FACTS  AND  FORMULAE  FOR  TIME  AND  DISTANCE

1.Speed = DistanceTime,  Time=DistanceSpeed, Distance= Speed×Time 

 

2. x km/hr = x×518 m/sec

 

3. x m/sec = x×185 km/hr

4. If the ratio of the speeds of A and B is a:b , then the ratio of the times taken by them to cover the same distance is or b : a

5. Suppose a man covers a certain distance at x km/ hr and an equal distance at y km/hr . Then, the average speed during the whole journey is 2xyx+ykm/hr.

Q:

A train has to cover a distance of 900 km in 25 hours. What should be its average speed in meters/second?

A) 20 B) 10
C) 18 D) 36
 
Answer & Explanation Answer: B) 10

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Q:

A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?

A) 8:00 B) 4:00
C) 6:30 D) 5:30
 
Answer & Explanation Answer: C) 6:30

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Q:

The ratio of speeds of X and Y is 5:7. Y covers a distance of 420 km in 3 hours. What is the speed of X?

A) 80 kmph B) 90 kmph
C) 120 kmph D) 100 kmph
 
Answer & Explanation Answer: D) 100 kmph

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Q:

Peter belongs to Town A and Paul belongs to Town B. They start their journeys towards each others towns following the same route at the same time. They meet somewhere on the way and continue with their journeys. After meeting Paul, Peter takes another 13.5 hrs to reach his destination while Paul takes another 6hrs to reach Peter's town. If Peter travelled at the speed of 30 kmph, what was Paul's speed in kmph?

A) 42.5 B) 40
C) 45 D) 47.5
 
Answer & Explanation Answer: C) 45

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Q:

If a boat goes upstream at a speed of 21 km/h and comes back the same distance at 28 km/h. What is the average speed (in km/hr) for the total journey?

A) 24.5 B) 24
C) 25 D) 25.4
 
Answer & Explanation Answer: B) 24

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Q:

A missile travels at 1206 km/h. How many metres does it travel in one second?

A) 355 metres B) 318 metres
C) 302 metres D) 335 metres
 
Answer & Explanation Answer: D) 335 metres

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Q:

A car moving in the morning fog passes a man walking at 4km/h. in the same direction. The man can see the car for 3 minutes and visibility is upto a distance of 130m. The speed of the car is :

A) 10 kmph B) 7.5 kmph
C) 8.9 kmph D) 6.6 kmph
 
Answer & Explanation Answer: D) 6.6 kmph

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Q:

A man walks at a speed of 3 kmph. He doubles his speed after reaching exactly half way. He walks for 5 hours in all. What is the total distance travelled by him?

A) 19 km B) 15 km
C) 12 km D) 20 km
 
Answer & Explanation Answer: D) 20 km

Explanation:

Let total distance be 2D.

 

He walks half distance i.e, (2D/2) = 'D' distance with 3 kmph and

The next 'D' with 6 kmph.

 

 

Using formula,

Time = Distance/speed

 

(D/3) + (D/6) = 5

 

D =10 ,

Hence, Total distance 2D  =  20 kms.

 

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